Chapter 4.4, Problem 1E

Solve $Ax=b$ for the following A and $b={\left[1,0,0\right]}^T$, using GMRES with $x_0={\left[0,0,0\right]}^T$ Report all approximations $x_k$ up to and including the correct solution.

$\text{a}\text{. }\left[\begin{array}{ccc}1& 1& 0\\ 0& 1& 0\\ 1& 1& 1\end{array}\right]$ $\text{b}\text{. }\left[\begin{array}{ccc}1& 1& 0\\ -1& 1& 2\\ 0& 0& 1\end{array}\right]$ $\text{c}\text{. }\left[\begin{array}{ccc}0& 0& 1\\ 1& 0& 0\\ 0& 1& 0\end{array}\right]$